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The results also reveal a tradeoff between the tightness and validity of the third bound in terms of the number of samples.
To ascertain the validity of the third chromid criterion (core genes found on the chromosome in other species) in N. galegae, the blastp service was used to determine homology of the protein sequences of the genes on the chromids (as predicted by Prodigal) to the set of 280 core genes of 69 taxa initially used to define chromids [ 12], with a threshold of minimum 70% identity.
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Each of the papers was valid only for a limited time, and this meant that the validity of the first had usually expired long before the last could be obtained.
Still, the necessity of the second decision did not negate the validity of the first.
Numerical calculations are presented to demonstrate the validity of the first asymptotic approximation.
The validity of the first-order necessary conditions are illustrated by designing quasi-periodic relative motions.
Range of validity of the first order shear deformation in the context of higher order Lamb wave modes is discussed.
The validity of the first and the second law of thermodynamics, as well as the validity of the principle of maximum dissipation rate, are required.
Using an ''analytical'' formalisation, we show the validity of the second regarding the robustness of the flow in terms of global optimisation.
Protestantism generally has rejected the validity of the first-cause argument; nevertheless, for most Christians it remains an article of faith that God is the first cause of all that exists.
Comparisons with the existing analytical and experimental results are made to demonstrate the accuracy and validity of the first-order approximation formula for the hexagonal array.
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